Find the average rate of change for f(x) = x^2 − 3x − 10 from x = −5 to x = 10.
A) -1
B) -2
C) 1
D) 2

Answer:

The solution is:

x=3

y=4

Step-by-step explanation:

We need to solve this system using the substitution method.

2x + 2y = 14

y = 3x - 5

Substitution method involves placing value of x or y from one equation to other equation.

We have:

[tex]2x + 2y = 14--eq(1)\\y = 3x-5 --eq(2)[/tex]

We will put value of y from equation 2 into equation 1.

[tex]2x + 2y = 14\\Put\:y = 3x - 5\\2x+2(3x-5)=14\\2x+6x-10=14\\8x=14+10\\8x=24\\x=\frac{24}{8}\\x=3[/tex]

So, we get x =3

Now, put value of x in equation 2 to find value of y

[tex]y = 3x - 5\\Put\:x=3\\y=3(3)-5\\y=9-5\\y=4[/tex]

So, we have y = 4

The solution is:

x=3

y=4

Answer:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

Step-by-step explanation:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

Answer:

- 2

Step-by-step explanation:

To rationalise multiply by its conjugate.

The conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] then

([tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] ) ← expand using FOIL

= ([tex]\sqrt{3}[/tex] )² - [tex]\sqrt{15}[/tex] + [tex]\sqrt{15}[/tex] - ([tex]\sqrt{5}[/tex] )²

= 3 - 5

= - 2

Answer:

60.73cm

Step-by-step explanation:

10cm=diameter so raduis of circle=5cm

area of full circle=78.5398...

area of semicircle=39.2699...

area of square=100cm

100-39.26990817=60.73 cm

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer: The greatest number of bags Jason can​ fill = 17

Step-by-step explanation:

Given: Jason has 34 raspberry scones and 51 blackberry scones.

To make identical bags of scones as possible.

Each bag should have an equal number of raspberry scones and an equal number of blackberry scones.

The greatest number of bags Jason can​ fill = Greatest common divisor of 3

and 51.

= 17     [Since 34 = 2 x 17 , 51 = 3 x 17]

Hence, the greatest number of bags Jason can​ fill = 17

Answer:

the second one ( - 3, -6)

Step-by-step explanation:

I used the method of substitution

Answer:

(-3, -6)

Step-by-step explanation:

Answer:

Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km

Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m

Step-by-step explanation:

9514 1404 393

Answer:

  u = ±√(-m/(k+r+y))

Step-by-step explanation:

Subtract r, rearrange, then take the square root.

  [tex]\dfrac{m}{u^2}+r=-k-y \qquad\text{given}\\\\ \dfrac{m}{u^2}=-k-y-r\\\\-\dfrac{m}{k+r+y}=u^2\\\\ \boxed{u=\pm\sqrt{-\dfrac{m}{k+r+y}}}[/tex]

Answer: +/- sqrt(m/-k-y-r)

Step-by-step explanation:

Answer:

City B is 4 degrees colder than City A

Step-by-step explanation:

When in degrees negatives a much colder. So if the number is negative the higher the number the colder the tempeture.

Have a great day!

Hope this helps!

PLEASE MARK BRAINLIEST.

Answer:

b. -

Step-by-step explanation:

Note the rules of multiply/dividing negative numbers:

1) A positive number multiplied/divided by a positive number = a positive answer.

2) A positive number multiplied/divided by a negative number (and vice versa) = a negative answer.

3) A negative number multiplied/divided by a negative number = a positive answer.

~

Note the question.

The first part is multiplying a negative number with a negative number:

(-) * (-) = (+) , based on the rules given above.

Next, multiply the next number. Note that it is also a negative number:

(+) * (-) = (-) , based on the rules given above.

b. - is your answer.

~

Answer:

the ratio of black mice*

Step-by-step explanation:

Answer:

4x - 13

Step-by-step explanation:

( 6x - 4 ) - ( 2x + 8 )

The "-" sign outside of the parenthesis is equivalent to "-", hence one can distribute the "-" sign

( 6x - 4 ) - ( 2x + 8 )

6x - 4 - 2x - 8

Combine like terms

6x - 5 - 2x - 8

4x - 13

Answer:

:)

Step-by-step explanation:

quiz scores:

a. arrange them all from least to greatest to figure out the median first

your quiz: 15, 16, 17, 18, 19     middle # = 17        median = 17

friend's quiz: 12, 13, 17, 20, 20     middle # = 17       median = 17

now for mean add all of your quiz scores up and divide by how many #s

15 + 16 + 17 + 18 + 19 = 85 / 5 = 17          mean = 17

now your friend's:

12 + 13 + 17 + 20 + 20 = 82 / 5 = 16.4       mean = 16.4

mode is which number is used the most

your mode = you don't have a mode       your friend's mode = 20

b. you have a higher mean than your friend

world populations:

a. range is to subtract the smallest number from the largest

803 - 31 = 772

b. mean is adding it all up and dividing by how many numbers there are:

803 + 487 + 348 + 368 + 730 + 31 = 2767 / 6 = 461.17

median is arranging them in order and finding the middle #

31, 348, 368, 487, 730, 803

368 + 487 = 855 / 2 = 427.5

mean = 461.17

median = 427.5

mode = no mode

tomato plants:

a. range is subtracting the smallest from the largest

52 - 36 = 16

b. mean is adding all the #s and dividing by how many #s there are:

36 + 45 + 52 + 40 + 38 +41 + 50 + 48 = 350 / 8 = 43.75

median is the middle from least to greatest

36, 38, 40, 41, 45, 48, 50, 52

41 + 45 = 86 / 2 = 43

mean = 43.75

median = 43

mode = no mode

hope this helps! :)

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

Answer: the Y-axis

Step-by-step explanation:

y is swapped To negative

Answer: It definitely depends  

Step-by-step explanation:

Answer:

Step-by-step explanation:

5/8

you need to add all numerators, same denominator

5/8 because the denominator is the same, so you can just add 1+1+1+1+1 and put that over 8 (confusing)

Answer:

d) m<J = 115, m<K = 130, m<M = 50, m<N = 65

Step-by-step explanation:

The sum of interior angles in this rectangle is equal to 360

if we add all the given angles 7x + 10 = 360 subtract 10 from both sides

7x = 350 divide both sides by 7

x = 50 to find the measure of each angle replace x with 50

Given:

The inequalities are:

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

For [tex]-2<x<3[/tex], the possible integer values are

[tex]x=-1,0,1,2[/tex]          ...(i)

For [tex]-2\leq x<2[/tex], the possible integer values are

[tex]x=-2,-1,0,1[/tex]        ...(ii)

The common values of x in (i) and (ii) are

[tex]x=-1,0,1[/tex]

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.

Answer:

160 feet

Step-by-step explanation:

In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:

5,280 (the number of feet in 1 mile) / 33

5,280/33=160

The posts are 160 feet apart from each other.

HTH :)

Answer:

Step-by-step explanation: step : Place the given line’s equation in slope- intercept form y = mx + b. A line parallel to this line will have the same slope.

7x - y = 4. Yields y = 7 x - 4. Therefore y = 7x - 5 is the correct answer.

Answer:

63°

Step-by-step explanation:

To get the value of x we will use the Pythagoras theorem

hyp² = opp²+adj²

Given

hyp is the length of the ladder = 22ft

Adjacent is the distance from the base of the ladder to the wall = 10ft

Angle of elevation = x

Using the SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos x = 10/22

Cos x = 5/11

x = arccos(5/11)

x = arccos(0.4545)

x = 62.96°

Hence the best estimate of x is 63°

Answer:

x+21 y

Step-by-step explanation:

Answer:

translation left 5 units